Three sinusoidal alternating currents of RMS 5, 7.5, and 10 A are having the same frequency of 50 Hz with the phase angle 30, -70, and 45 degrees respectively. Find the average value in amperes. choices: a. 4.5, 6.76, 9.0 b. 5, 7.5, 10 c. 5.56, 8.83, 11.11 d. 6.0, 8.0, 10.0 Refer to previous problem, write the equations for their instantaneous current in ampere values. choices: a. i1 = 7.07 sin(314t + 30), i2 = 10.61 sin(314t + 70), i3 = 14.14 sin(314t + 45) b. i1 = 7.07 sin(314t + 30), i2 = 10.61 sin(314t - 70), i3 = 14.14 sin(314t + 45) c. i1 = 7.07 sin(314t - 30), i2 = 10.61 sin(314t - 70), i3 = 14.14 sin(314t + 45) d. i1 = 7.07 sin(314t - 30), i2 = 10.61 sin(314t + 70), i3 = 14.14 sin(314t + 45)

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Fourier Series

Most of the incidents studied in the field of Engineering and Science as a function of time. For example, current and voltage are in the alternating current circuit. These occasional activities can be analyzed in the activity components (fundamental frequency and harmonics) through a process called Fourier analysis.